How Can We Calculate the Factorial of an Arbitrarily Large Number Without External Libraries?

Calculating the Factorial of an Arbitrarily Large Number: A Comprehensive Guide

In the realm of computer science, programmers may encounter the challenge of calculating the factorial of an arbitrarily large number. While this can be a daunting task, it is possible to achieve without the use of external libraries.

One approach to tackling this problem involves utilizing an array of integers to represent the factorial. This array can be initialized with zeroes, and then the number whose factorial is to be calculated can be repeatedly multiplied by each element of the array.

In the code provided, the 'arr' array is initially populated with zeroes except for the last element, which is set to 1. The 'factorial' function then takes this array and the number whose factorial is to be calculated as inputs. It multiplies the 'arr' array by the given number, taking care to handle any carryover from the multiplication. The function then calls itself recursively to continue the multiplication process for smaller and smaller numbers until it reaches base cases, such as 1.

Finally, the 'display' function is used to print all the non-zero elements of the 'arr' array, which represents the factorial of the given number.

This approach provides a clear and straightforward method for calculating the factorial of an arbitrarily large number by simulating the process of factorial calculation manually. It allows programmers to obtain all the digits of the answer without the need for additional libraries, making it a valuable tool for solving this common programming challenge.

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